Atkin-Lehner |
2- 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650t |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-19635360563200 = -1 · 216 · 52 · 17 · 893 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -5 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4487,-177209] |
[a1,a2,a3,a4,a6] |
j |
399618755234375/785414422528 |
j-invariant |
L |
5.7214711755687 |
L(r)(E,1)/r! |
Ω |
0.35759194928632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650n1 |
Quadratic twists by: 5 |